Math practice for 13 year olds - page 52 of 414
Number of problems found: 8262
- Probability - target
A target is divided into two zones. The probability that a shooter hits zone 1 is 21%, and the probability of hitting zone 2 is 48%. What is the probability that the shooter hits the target? - Mirka 2
Mira is saving for a bicycle. She already has €336, which is 1/5 more than half the price of the bicycle. How much does the bicycle cost? - Two resistors 5
Two resistors are connected in parallel. The first resistor has a resistance of 2,000 ohms and a current of 4 mA flows through it. The second resistor has a resistance of 1,600 ohms. 1. Draw a circuit diagram. 2. Determine the voltage of the power source. - To the city
A bus departs for a city 54 km away at an average speed of 15 m/s. A motorcycle departs from the same place 12 minutes after the bus to follow it. Calculate the average speed of the motorcycle if it arrives at the destination at the same time as the bus. - Tractor 17
A tractor's average speed was 2.4 km/h in the first minute of starting, 3.6 km/h in the second and third minutes, and 5.0 km/h in the fourth through sixth minutes. What distance did it cover during the first six minutes of driving? Determine the tractor's - Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25 m and legs of 30 m. Calculate the maximum number of flowers that can be planted in this bed, assuming each flower requires approximately 8 dm² of space. Round the result to the nearest - Laboratory
In a laboratory, twelve litres of 80% alcohol were to be diluted to produce 40% alcohol, and then further combined to make a final 70% alcohol solution. A five-litre barrel of 40% alcohol was available. How much of the 40% alcohol will remain in the barre - Suitcase - rod
The boot of a car has the shape of a cuboid with dimensions 1.6 m × 1.2 m × 0.5 m (width × depth × height). Determine the longest thin rod that can be placed flat on the bottom of the boot. - The Novak family 2
The Novák family had debts at two banks. They repaid Bank A a total of 26,500 CZK, with interest making up one fifth of the amount repaid. They repaid Bank B an amount 15,000 CZK less, including ten percent interest. a) What was the Novák family's origina - Equilateral cone
A cup has the shape of a right circular cone whose slant height equals the diameter of its base (i.e. the axial cross-section is an equilateral triangle). It is supposed to hold 0.2 litres of liquid when filled to 1 cm below the rim. Calculate its diamete - Lampshade 3
A lampshade has the shape of a lateral surface of a cone with a slant height of 32 cm and a base diameter of 46 cm. Calculate the paper needed for its production, assuming 6% waste. - Arbor
Calculate in square metres the area of an arbour whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m. - Distance - cities
Determine the actual distance between two cities if their distance on the map is 7.5 cm and the map scale is 1:60,000. - Detergent - dilution
A detergent is diluted in a ratio of 1:200. How much detergent is needed if 5 litres of water are used? - Tickets 9/11
9 tickets cost 153 CZK. How much do 11 tickets cost? - Visitors
On the first holiday weekend, 1,250 visitors came to the swimming pool in Zdice. Sunday was less pleasant, so only two thirds as many visitors came as on Saturday. How many visitors came on Saturday? - Out of 124
Out of 124 students, 68 went on at least one of two trips. 82 students did not go on the first trip, and 63 students went on exactly one trip. How many students went only on the first trip, and how many students went on the second trip? - Chord and radius
Calculate the radius of a circle whose chord XY is 8 cm long and whose centre is 3 cm from the chord. - Rhombus 47
A rhombus has a side length of 5 m and a longer diagonal of 8 m. What is the length of the shorter diagonal? - Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and its total surface area is twice the area of its base. Determine the length of its space diagonal.
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